$\backslash$table$[[$ACTIVITY$,\backslash$table$[[$IMMEDIATE$],[$PREDECESSOR$($S$)]],$TIME ESTIMATES $($IN WEEKS$)],[$OPTIMISTIC$,\backslash$table$[[$MOST$],[$LIKELY$]],$PESSIUISTic$],[$A$,-,4,8,10],[$B$,$A$,2,8,24],[$C$,$A$,8,12,16],[$D$,$A$,4,6,10],[$E$,$B$,1,2,3],[$F$,E,C,6,8,20],[$G$,E,C,2,3,4],[H,$F$,2,2,2],[1,$F$,6,6,6],[1,D,G,H,4,6,12],[K,1,1,2,2,3]]$

a$)$ What is the expected $($estimated$)$ time for activity $C?$

b$)$ What is the variance for activity C$?$

c$)$ Based on the calculation of estimated times, what is the critical path?

d$)$ What is the estimated time of the critical path?

e$)$ What is the activity variance along the critical path?

f$)$ What is the probability of completion of the project before week $36?$